Triangle postualtes intro lesson —

the introduction to absolute truth

Trail Summary

  • Warm-Up: Induction vs Deductive Reasoning

  • Postulate Exploration: Students explore and experiment on desmos the postulates.

  • Notes: Debrief of Desmos discoveries

  • Practice and Extensions: Students practice identifying the postulates

  • Exit Checkpoint: Students identify the postulates

Downloads

Lesson: PowerPoint , Plan
Worksheets: Reflections Exploration , Reflections Over Any Line

FULL Trail report:

Warm Up: Reflections in Nature

Why: There’s always a way to connect the math concepts to something real. It reminds students that math is SCENIC, and gives them a more powerful reason to embark upon the challenge.

What you do:

Trail Marker: Remind students of the connections to math all around us.

Activity 1: Reflection Exploration

Why:

What you do:

Trail Marker:

Debrief: What are the lines of reflection?

Why:

What you do:

Trail Marker:

Activity 2: Indivudal Practice

Why:

What you do:

Trail Marker:

AfterMath: Reflection Check

Why:

Trail Marker:

Scenic landscape of snow-capped mountains with pink clouds at sunrise, reflected in a calm lake surrounded by green pine trees.
Graph with two blue triangles labeled ABC and A'B'C', positioned below the x-axis. The vertices of triangle ABC are (-4, -2), (-5, 1), and (-2, 0). The vertices of triangle A'B'C' are (-2, -4), (-2, -2), and (1, -5). A green dashed line shows the line y = x, crossing through the origin, with axes marked from -5 to 5.